Answer:25 /77
Step-by-step explanation:
77 x - 8 = 17
Collect like terms
77 x = 17 + 8
x= 25 /77
The two equations are vertical angles, which mean they are equal.
Set each equation to equal each other and solve for x.
3x-3 = 6(x-10)
Simplify the right side:
3x-3 = 6x-60
Subtract 3x from each side:
-3 = 3x - 60
Add 60 to each side:
57 = 3x
Divide both sides by 3:
x = 57 / 3
x = 19
Answer:
Step-by-step explanation:
In order to determine the number of
tiles she will need to cover the pyramid, we would apply the formula for determining the total surface area of a pyramid. It is expressed as
Total surface area = 1/2 × p × l + base area
Where
p represents the perimeter of the base
l represents the slant height of the triangular face
Since the base is a square, the perimeter, p is
12 × 4 = 48 feet
l = 15 feet
Base area = 12² = 144 ft²
Total surface area = (1/2 × 48 × 15) + 144 = 504 ft²
Since the artist decides to cover the metal structure with 1-foot square glass tiles, the number of tiles needed is
504/1 = 504 tiles
Answer:
12
Step-by-step explanation:
Use the PEMDAS
there is a parenthesis and exponents
9/3{(8) - 4)}
Multiply and divide 9/3= 3
Also subtract 8-4 = 4
3{8-4}
3(4)= 12
Answer:
1/12
Step-by-step explanation:
P( coin = heads) = number of heads / total = 1/2
P( cube = 5) = number of 5's / total =1/6
P( heads, 5) =1/2 * 1/6 = 1/12